Regardless of the final name, can we please replace the word "stash" with "cache"? "GPS Cache Hunt" and "Geocache" still sound find. I believe it still works with all of the variations that David came up with (Geocaching, geocacher, etc).
Here's my reasoning:
1) Several people have already stated their dislike for the term "stash" on the basis that it sounds illegal. To my ears, "stash" sounds a little immature, but that's a personal feeling.
2) "Back in the old days", especially in the Yukon and northern climes, explorers would leave caches of food and supplies at known locations so that they'd have them on their return trip. Some caches were "community property" and known by all who took a particular trail. If they needed something, they took it, and if they had extras of something, they left it. Sound familiar?
3) The word "cache" both brings forth feelings of nostalgia for the days of exploring, as well as a "techie" feeling for those that associate it with computer memory.
Personally, when I get a chance to check on my cache's again (they're 6 hrs from where I live) I'll remove all references to any particular game. I'll probably add a custom rubber stamp and register the cache with the letterboxing folks as well. Might as well double the fun. My "clue" for the letterboxing folks will simply be the lat/lon coordinates. I believe their game is flexible enough to allow that.